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Finding the Fourth Proportional to 595.58, 891.74 and 306.41

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Solution

The fourth proportional to 595.58, 891.74 and 306.41 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.58 : 891.74 = 306.41 : x
  2. Step 2: Convert to fraction form
    595.58/891.74 = 306.41/x
  3. Step 3: Cross multiply
    595.58x = 891.74 × 306.41
  4. Step 4: Simplify right side
    595.58x = 273,234.36
  5. Step 5: Solve for x
    x = 273,234.36/595.58
  6. Step 6: Final answer
    x = 458.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.